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Q5 Another way of writing \( 5^{3} \) is \begin{tabular}{ll}\( 5 \times 3 \) & \( 5 \times 5 \times 5 \) \\ \( 3 \times 3 \times 3 \times 3 \times 3 \) & \( 5+5+5 \) \\ \hline\end{tabular}

Ask by Stuart Parsons. in Australia
Mar 09,2025

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Another way to write \( 5^{3} \) is \( 5 \times 5 \times 5 \).

Solution

To determine another way of writing \( 5^{3} \), we need to understand what \( 5^{3} \) means. The expression \( 5^{3} \) represents \( 5 \) multiplied by itself \( 3 \) times. Let's analyze the options provided: 1. \( 5 \times 3 \) - This is simply multiplying \( 5 \) by \( 3 \), which equals \( 15 \). This does not represent \( 5^{3} \). 2. \( 5 \times 5 \times 5 \) - This is the correct representation of \( 5^{3} \) because it shows \( 5 \) multiplied by itself \( 3 \) times. 3. \( 3 \times 3 \times 3 \times 3 \times 3 \) - This represents \( 3^{5} \), which is not equivalent to \( 5^{3} \). 4. \( 5 + 5 + 5 \) - This is the sum of \( 5 \) added \( 3 \) times, which equals \( 15 \). This does not represent \( 5^{3} \). From the analysis, the only correct alternative way of writing \( 5^{3} \) is: \[ 5 \times 5 \times 5 \] Thus, the answer is \( 5 \times 5 \times 5 \).

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Another way of writing \( 5^{3} \) is \( 5 \times 5 \times 5 \), which signifies multiplying the number 5 by itself three times. This expression is known as exponentiation, where the base (5) is raised to the power of the exponent (3), indicating how many times to use the base in multiplication. In practical terms, you can think of \( 5^{3} \) as calculating the volume of a cube where each edge is 5 units long. The calculation \( 5 \times 5 \times 5 = 125 \) means that the cube has a volume of 125 cubic units. This principle of multiplication can be applied in various settings, from construction to packing, simplifying tasks that involve calculating areas or volumes.

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